Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

At take off, a plane flies 100 km north before turning to fly 200 km east. How far is its destination from where the plane took off?

Answer 1

Option C is the correct answer.

Step-by-step explanation:

Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.

At take off, a plane flies 100 km north before turning to fly 200 km east, which means plane first travels 100 km north and then travels 200 km east.

100 km north, Displacement = 100 j km

200 km east, Displacement = 200 i km

Total displacement = 100 j + 200 i = ( 200 i + 100 j ) km

Magnitude of displacement =
`√(200^2+100^2) = √(50000) =223.61 km` ≅ 224 km

Option C is the correct answer.